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Register a new userPerturbations of spiky strings in AdS3
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Added by
Soumya Bhattacharya
Publication date
2018
fields
Physics
and research's language is
English
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Perturbations of a class of semiclassical spiky strings in three dimensional Anti-de Sitter (AdS) spacetime, are investigated using the well-known Jacobi equations for small, normal deformations of an embedded timelike surface. We show that the equation for the perturbation scalar which governs the behaviour of such small deformations, is a special case of the well-known Darboux-Treibich-Verdier (DTV) equation. The eigenvalues and eigensolutions of the DTV equation for our case are obtained by solving certain continued fractions numerically. These solutions are thereafter utilised to further demonstrate that there do exist finite perturbations of the AdS spiky strings. Our results therefore establish that the spiky string configurations in AdS3 are indeed stable against small fluctuations. Comments on future possibilities of work are included in conclusion.
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Bogdan G. Dimitrov (Bogoliubov Laboratory of Theoretical Physics
, n Joint Institute for Nuclear Research
, Dubna
2004
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